{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Homework 9 - Clustering\n",
    "Isac do Nascimento Lira, 371890"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1 - Aplique os algoritmos K-means [1] e AgglomerativeClustering [2] em qualquer dataset que você desejar (recomendação: iris). Compare os resultados utilizando métricas de avaliação de clusteres (completeness e homogeneity, por exemplo) [3].\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "import pandas as pd\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.cluster import  AgglomerativeClustering as AC\n",
    "from sklearn.decomposition import PCA\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn import metrics\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Carrega os dados\n",
    "\n",
    "irisDF = datasets.load_iris()\n",
    "X = irisDF.data\n",
    "y = irisDF.target\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Instancia o classificador KMeans  e realiza a predição\n",
    "n_clusters = 2\n",
    "kmeans = KMeans(n_clusters = n_clusters,random_state = 0).fit(X)\n",
    "predict = kmeans.predict(X)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1ca8e9c4828>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KqbxijJkmIkPcjqO1aC3jI8Dtp49h4tOfkIwl6x0vKA5z79SbN6pq9uJfljLu0Q8oXVzK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1ca8eb42278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Reduz os o número de features e visualiza os clusters formados\n",
    "newSet = PCA(n_components=2).fit_transform(X)\n",
    "\n",
    "fig,axs = plt.subplots(1,2,figsize=[15,5])\n",
    "axs[0].scatter(newSet[:,0], newSet[:,1], c=y)\n",
    "axs[0].set_xlabel('Component 1')\n",
    "axs[0].set_ylabel('Component 2')\n",
    "axs[1].scatter(newSet[:,0], newSet[:,1], c=predict)\n",
    "axs[1].set_xlabel('Component 1')\n",
    "axs[1].set_ylabel('Component 2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Métrica de homogeneida(KMeans):  0.522322464101\n",
      "Métrica de completude(KMeans):  0.883514234919\n"
     ]
    }
   ],
   "source": [
    "# Calcula as métricas  - Homogeneidade e Completude\n",
    "\n",
    "hg_kmeans = metrics.homogeneity_score(y,predict) \n",
    "cs_kmeans = metrics.completeness_score(y,predict) \n",
    "print('Métrica de homogeneida(KMeans): ',hg_kmeans)\n",
    "print('Métrica de completude(KMeans): ',cs_kmeans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1fae85910b8>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5BhGlLJA5AkILIfgbqHRwn4WySIGrBJAxcg9rK9DhfT9GG2DkgrVuYmISohy0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\nZPpo0I+CvTMi6laEUkS9crV1INMjfOBBun9BOHo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9SO8LG/FOt6tQ8imYIoRg1LX9GDJh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\nKaVqKU0IlVJKKaWUUqqW+n+w9A3z40evGAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1fae8300da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Realiza a clusterização baseado em AgglomerativeClustering\n",
    "\n",
    "predict_ac = AC(n_clusters = 2).fit_predict(X)\n",
    "fig,axs = plt.subplots(1,2,figsize=[15,5])\n",
    "\n",
    "axs[0].scatter(newSet[:,0], newSet[:,1], c=y)\n",
    "axs[0].set_xlabel('Component 1')\n",
    "axs[0].set_ylabel('Component 2')\n",
    "\n",
    "axs[1].scatter(newSet[:,0], newSet[:,1], c=predict_ac)\n",
    "axs[1].set_xlabel('Component 1')\n",
    "axs[1].set_ylabel('Component 2')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AglomerativeClustering Metrics\n",
      "Métrica de homogeneida:  0.579380164286\n",
      "Métrica de completude:  1.0\n"
     ]
    }
   ],
   "source": [
    "hg_ac = metrics.homogeneity_score(y,predict_ac) \n",
    "cs_ac = metrics.completeness_score(y,predict_ac)\n",
    "\n",
    "print('AglomerativeClustering Metrics')\n",
    "print('Métrica de homogeneida: ',hg_ac)\n",
    "print('Métrica de completude: ',cs_ac)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2 - Qual o valor de K (número de clusteres) você escolheu para a questão anterior? Desenvolva o Método do Cotovelo (não utilizar lib!) e descubra o K mais adequado. Após descobrir, aplique novamente o K-means com o K adequado. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ks = np.arange(1,10)\n",
    "homog_metrics = []\n",
    "comp_metrics = []\n",
    "for k in ks:\n",
    "    kmeans = KMeans(n_clusters=k,random_state=0).fit(X)\n",
    "    ypred = kmeans.predict(X)\n",
    "    homog_metrics.append(metrics.homogeneity_score(y,ypred))\n",
    "    comp_metrics.append(metrics.completeness_score(y,ypred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1fae88bab38>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gy/QUFU9SONLd+5vZNAB3/yYsmiP7YcW6rXy+dB0/HXawVi2LRCWnEeT2DI6q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\niIhIBSUFERGp8P/I+342Eh0FHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1fae86e7588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ks,homog_metrics)\n",
    "plt.plot(ks,comp_metrics)\n",
    "plt.xlabel('K')\n",
    "plt.ylabel('Homogeneity Metric')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Pelo gráfico, o valor de k ideal é 3, pois balanceia as métricas de completude e homogeneidade. Apartir deste valor, também não há ganhos significativos na métrica de homogeneidade. No mais, o valor é coerente com o número de clusters real do dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Métrica de homogeneida(KMeans):  0.751485402199\n",
      "Métrica de completude(KMeans):  0.764986151449\n"
     ]
    }
   ],
   "source": [
    "best_k = 3\n",
    "predict = KMeans(n_clusters=best_k).fit_predict(X)\n",
    "\n",
    "hg_kmeans = metrics.homogeneity_score(y,predict) \n",
    "cs_kmeans = metrics.completeness_score(y,predict) \n",
    "print('Métrica de homogeneida(KMeans): ',hg_kmeans)\n",
    "print('Métrica de completude(KMeans): ',cs_kmeans)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Houve um ganho significativo na métrica de homogeneidade e uma redução na completude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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